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Reflections on watching Donald Duck swim in a mathematical wonderland.
From the invention of numbers thousands of years ago to the problems of mathematical research now, we have participated in and discussed. In the world of mathematics, space, probability and password, we feel more and more clearly that mathematics is by no means boring, but a subject full of beauty and charm, which can make people indulge in it. In our daily life, mathematics is everywhere: for example, CD players, cars, computers ... without mathematics, any kind of technology and instrument is unimaginable. However, this theme is not so popular. Many people have been particularly afraid of mathematics since they were students, thinking that mathematics is boring, far from life and difficult to understand. In The Charm of Mathematics, the famous mathematician and science journalist Dr. Wolfgang Bloom expressed something completely different.

Mathematics, like other disciplines, has developed much faster in recent decades than in any previous era, so it is impossible to describe it in detail. Nowadays, thousands of research results emerge every year. Even professionals can't keep up with the development of all branches of mathematics at any time. However, the charm of mathematics can make you understand this magical world with the light of wisdom.

Mathematics has extremely important educational value. Mathematics is one of the basic factors in training objective and accurate judgment. Mathematics especially needs active thinking activities and verification of results, which will have an impact on the study of other disciplines (intellectually and morally). The mystery of mathematics is not to find its perfection and complexity, but to find the most economical and simple expression and argument. Because mathematics plays a central role in modern culture, a basic understanding of the essence of mathematics becomes the need of scientific literacy. To do this, students need to regard mathematics as a part of scientific activities, understand the essence of mathematical thinking, and be familiar with important mathematical concepts and skills.

As a theoretical discipline, mathematics explores the relationship between abstract concepts, regardless of whether these abstractions have corresponding objects in the real world. Psychological research shows that the core of all intelligence lies in thinking. The development of children's mathematical ability should include cognition, calculation and thinking, rather than simply equating calculation with mathematics. Some scholars wisely pointed out that abacus and mental arithmetic can really promote children's computing ability, but their contribution to children's thinking development is very limited.

The purpose of mathematics teaching is to help students form logical procedures (thinking, analysis, abstraction, conciseness, planning, deduction, reasoning, generalization, concretization, application, judgment, etc.) in their actions. ), form a reasonable idea and the quality of its expression (order, accuracy, clarity, conciseness, etc.). ), arouse observation, form the concepts of space and number, and cultivate intuition and imagination, attention and attention in the abstract field. Finally, scientific literacy (objectivity, honesty, research interest, etc. ) is formed, which is the basic part of a modern person's education, even if he is engaged in non-scientific or non-technical work in the future.